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Finding the Third Proportional to 189,192 and 407,085

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Solution

The third proportional to 189,192 and 407,085 is: 875,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,192 : 407,085 = 407,085 : x
  2. Step 2: Convert to fraction form
    189,192/407,085 = 407,085/x
  3. Step 3: Cross multiply
    189,192x = 407,085 × 407,085
  4. Step 4: Simplify right side
    189,192x = 165,718,197,225
  5. Step 5: Solve for x
    x = 165,718,197,225/189,192
  6. Step 6: Final answer
    x = 875,926.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.